construct/rlve polynomial integer roots
construct/rlve polynomial integer roots: a task in MathConstructOptimize-Envs-harbor (Harbor dataset). The degree-8 polynomial P(x) = (-60480) x^0 + (-41256) x^1 + (10908) x^2 + (12298) x^3 + (1365) x^4 + (-520) x^5 + (-82) x^6 + (6) x^7 + (1) x^8 can be written as (x - a 1)(x - a 2)...(x - a 8)…
The task
The degree-8 polynomial P(x) = (-60480)*x^0 + (-41256)*x^1 + (10908)*x^2 + (12298)*x^3 + (1365)*x^4 + (-520)*x^5 + (-82)*x^6 + (6)*x^7 + (1)*x^8 can be written as (x - a_1)(x - a_2)...(x - a_8) with integers a_1, ..., a_8 (not necessarily distinct). Find such integers.